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2213201317 is a prime number
BaseRepresentation
bin1000001111101010…
…1100010110100101
312201020112021110011
42003322230112211
514013034420232
61003340330221
7105562620655
oct20372542645
95636467404
102213201317
11a363269a8
12519243971
132936a43a2
1416dd16365
15ce478547
hex83eac5a5

2213201317 has 2 divisors, whose sum is σ = 2213201318. Its totient is φ = 2213201316.

The previous prime is 2213201303. The next prime is 2213201327. The reversal of 2213201317 is 7131023122.

It is a happy number.

2213201317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2064702721 + 148498596 = 45439^2 + 12186^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213201317 - 211 = 2213199269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2213201327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106600658 + 1106600659.

It is an arithmetic number, because the mean of its divisors is an integer number (1106600659).

Almost surely, 22213201317 is an apocalyptic number.

It is an amenable number.

2213201317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213201317 is an equidigital number, since it uses as much as digits as its factorization.

2213201317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 2213201317 is about 47044.6736304972. The cubic root of 2213201317 is about 1303.1877031456.

Adding to 2213201317 its reverse (7131023122), we get a palindrome (9344224439).

It can be divided in two parts, 221320 and 1317, that multiplied together give a triangular number (291478440 = T24144).

The spelling of 2213201317 in words is "two billion, two hundred thirteen million, two hundred one thousand, three hundred seventeen".